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A143132 Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0,...]. 0
1, 6, 26, 96, 321, 876, 2006, 4026, 7321, 12346, 19626, 29756, 43401, 61296, 84246, 113126, 148881, 192526, 245146, 307896, 382001, 468756, 569526, 685746, 818921, 970626, 1142506, 1336276, 1553721, 1796696, 2067126, 2367006, 2698401, 3063446 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture: rightmost digit of terms is cyclic: (1, 6, 6, 6,...repeat).

LINKS

Table of n, a(n) for n=1..34.

FORMULA

Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0,...] where (1, 5, 15, 35, 70) = row 4 of triangle A046899.

O.g.f.: (1+x+6x^2+16x^3+46x^4)/(1-x)^5. a(n)=46-200*n+330*A000217(n)-245*A000292(n)+70*A000332(n+3). [From R. J. Mathar, Jul 31 2008]

a(n) = (552 - 1190 n + 895 n^2 - 280 n^3 + 35 n^4)/12 [From T. D. Noe, Aug 22 2008]

EXAMPLE

a(4) = 96 = (1, 3, 3, 1) dot (1, 5, 15, 35) = (1 + 15 + 45 + 35).

CROSSREFS

Cf. A046899.

Sequence in context: A036645 A000393 A106392 * A055589 A318947 A320816

Adjacent sequences:  A143129 A143130 A143131 * A143133 A143134 A143135

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Jul 27 2008

EXTENSIONS

More terms from T. D. Noe, Aug 22 2008

STATUS

approved

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Last modified March 25 16:32 EDT 2019. Contains 321470 sequences. (Running on oeis4.)